Mathematics / Subcategory

Linear Algebra

Linear algebra calculators and formulas for matrices, determinants, and eigenvalues. Includes matrix multiplication, inverse matrix, and eigenvector calculations.

9Formulas

All levels Difficulty

Updated Oct 2026

← All Mathematics (40) Linear Algebra (9)

Fundamental

Vector Projection (Scalar Projection)

comp_b(a) = (a . b) / |b|

Fundamental

Vector Magnitude (Euclidean Norm)

|v| = sqrt(v1^2 + v2^2 + v3^2)

Fundamental

Cross Product of Vectors

a x b = (a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1)

Fundamental

Dot Product of Vectors

a . b = a1*b1 + a2*b2 + a3*b3

Fundamental

Inverse of a 2x2 Matrix

A^-1 = (1/det(A)) * [[d,-b],[-c,a]]

Fundamental

Determinant of a 3x3 Matrix

det(A) = a(ei-fh) - b(di-fg) + c(dh-eg)

Fundamental

Determinant of a 2x2 Matrix

det(A) = a*d - b*c

Fundamental

Eigenvalue Equation

Av = λv

Fundamental

Determinant of a 2×2 Matrix

det(A) = ad − bc